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 EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS

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Eng.Saeed Almalowi



Posts : 38
Join date : 2009-10-27
Location : UNITED STATE OF AMERICA, STATE COLLEGE,PA

EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS Empty
PostSubject: EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS   EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS Icon_minitimeWed Nov 04, 2009 9:15 am

Find the equivalent resistance for the circuit shown above.
EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS Ladder
Note that the 4 and 5 are NOT in parallel because the 2 and 8 are in between. The 1 and 2 are NOT in series because the 4 is in between. The 1 and 7 are NOT in parallel because the 4 is in between. The only combination you can make (at first) is the 3, 6, and 9 are in series, so:
EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS Ladder2
Now the 5 and 18 are in parallel:
EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS Ladder3
The 2, 3.9, and 8 are in series:
EQUIVALENT RESISTANCE FOR PARALLEL CIRCUITS Ladder4
The 4 and 13.9 are in parallel:
Finally, all three are in series

Req = 1 + (4 || {2 + [5 || (3+6+9)] + 8}) + 7

= 11.1 ohms
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